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AT is a tangent to a circle at A, and the chord AB makes an angle of 58° with AT. C is a point on the major arc AB. Find ∠ACB.

Competition practiceGeometry
  • A58°
  • B122°
  • C32°
  • D116°

Step-by-Step Solution

By the alternate segment theorem, the angle between a tangent and a chord equals the angle in the alternate segment, so ∠ACB = 58°.
Answer: A) 58°

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